3337538527213 has 16 divisors (see below), whose sum is σ = 3677161510080. Its totient is φ = 3003953248000.

The previous prime is 3337538527201. The next prime is 3337538527259. The reversal of 3337538527213 is 3127258357333.

3337538527213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3337538527213 - 2¹⁷ = 3337538396141 is a prime.

It is a super-2 number, since 2×3337538527213² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3337538527283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32497698 + ... + 32600236.

It is an arithmetic number, because the mean of its divisors is an integer number (229822594380).

Almost surely, 2^{3337538527213} is an apocalyptic number.

It is an amenable number.

3337538527213 is a deficient number, since it is larger than the sum of its proper divisors (339622982867).

3337538527213 is a wasteful number, since it uses less digits than its factorization.

3337538527213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131948.

The product of its digits is 9525600, while the sum is 52.

The spelling of 3337538527213 in words is "three trillion, three hundred thirty-seven billion, five hundred thirty-eight million, five hundred twenty-seven thousand, two hundred thirteen".